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Finding the Third Proportional to 103,905 and 221,634

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Solution

The third proportional to 103,905 and 221,634 is: 472,755.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,905 : 221,634 = 221,634 : x
  2. Step 2: Convert to fraction form
    103,905/221,634 = 221,634/x
  3. Step 3: Cross multiply
    103,905x = 221,634 × 221,634
  4. Step 4: Simplify right side
    103,905x = 49,121,629,956
  5. Step 5: Solve for x
    x = 49,121,629,956/103,905
  6. Step 6: Final answer
    x = 472,755.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.